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Simplifying (3x + 2)(6 + 7) = 49 Reorder the terms: (2 + 3x)(6 + 7) = 49 Combine like terms: 6 + 7 = 13 (2 + 3x)(13) = 49 Reorder the terms for easier multiplication: 13(2 + 3x) = 49 (2 * 13 + 3x * 13) = 49 (26 + 39x) = 49 Solving 26 + 39x = 49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 39x = 49 + -26 Combine like terms: 26 + -26 = 0 0 + 39x = 49 + -26 39x = 49 + -26 Combine like terms: 49 + -26 = 23 39x = 23 Divide each side by '39'. x = 0.5897435897 Simplifying x = 0.5897435897
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